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Finding the Third Proportional to 6,795.93 and 10,187.49

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Solution

The third proportional to 6,795.93 and 10,187.49 is: 15,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.93 : 10,187.49 = 10,187.49 : x
  2. Step 2: Convert to fraction form
    6,795.93/10,187.49 = 10,187.49/x
  3. Step 3: Cross multiply
    6,795.93x = 10,187.49 × 10,187.49
  4. Step 4: Simplify right side
    6,795.93x = 103,784,957.28
  5. Step 5: Solve for x
    x = 103,784,957.28/6,795.93
  6. Step 6: Final answer
    x = 15,271.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.